Estimating Cube Root

Q. Given that 4913 is a perfect cube. Estimate its cube root without factorisation?

Q. A cube has a volume of $216c{m}^3$. What is the length of side of the cube?

1. $8cm$
2. $6cm$
3. $5cm$
4. $7cm$

Q. Find the cube root of 857375 through estimation.

1. 95
2. 85
3. 65
4. 98

Q. If the unit digit of a number is 7, then the unit digit of its cube is

1. $3$
2. $9$
3. $7$

Q. Find the cube root of 29791 by estimation method.

1. 31
2. 21
3. 45
4. 51

Q.

The cube root of 30 lies between 3 and 4.

1. True

2. False

Q. Find the cube roots of the following numbers :
(i) 729 (ii) 4913 (iii) 117649

Q. Find the cube root of 9261 through estimation.

1. 21
2. 31
3. 28
4. 23

Q. Enter the cube root of 29791, given that it is a perfect cube.

1. 31

Q. Match the unit digit of the given cubes.

1. 6
2. 4
3. 3
4. 5

Q. Estimation method is preferably used to find the cube root of _________ .

1. any number
2. non-perfect cubes
3. perfect cubes
4. non-perfect squares

Q.

Find the cube root of 0.004913 [4 MARKS]

Q. Find the cube root of 17576 through estimation.

Q. Find the cube root of 9261 through estimation.

1. 31
2. 21
3. 28
4. 23

Q. Estimation method is preferably used to find the cube root of _________ .

1. non-perfect cubes
2. any number
3. perfect cubes
4. non-perfect squares

Q.

Which of the following has 1 as its unit digit in its cube root?

1. 13824

2. 571787

3. 226981

4. 175616

Q.

Question 122

Solve the following question:

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then find the cube root of the larger number.

Q. Find the units digit of the cube root of 175616.

Q. Estimation method is preferably used to find the cube root of _________ .

1. any number
2. non-perfect cubes
3. perfect cubes
4. non-perfect squares

Q. Enter the cube root of 29791, given that it is a perfect cube.

1. 31

Q. Find the units digit of the cube root of 175616.

1. 6
2. 5
3. 3
4. 7

Q.

Find the cube root of -2.744.

1. 14
2. -14
3. 1.4
4. -1.4

Q. You are told that 1, 331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 32768.

Q. Find the cube root of 17576 through estimation. [4 MARKS]

Q. Which of the given number is a cube number?

1. 5
2. 125
3. 25
4. 16

Q.

Find the cube root of $\frac{-2197}{1331}$ [3 MARKS]

Q.

Find the cube root of 0.004913 [4 MARKS]

Q. You are told that 1, 331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly guess the cube root of 4913.

Q. Find the units digit of the cube root of 175616.

1. 5
2. 3
3. 6
4. 7

Q. Cube root of 658503 =

1. 87
2. 97
3. 77